Question5.2 112 < Question 26, 5.2.53 > Find the measure of the side of the right triangle whose length is designated by the lower case letter c. HW Score: 67.65%, 23 of 34 points O Points: 0 of 1 B T 向 Save C 23 m C ப 33° A
Studdy Solution
STEP 1
1. We are dealing with a right triangle.
2. We are given one angle and one side m.
3. We need to find the length of the side designated by the lowercase letter .
4. The side is opposite the given angle .
STEP 2
1. Identify the known elements of the triangle.
2. Use trigonometric ratios to find the unknown side.
3. Solve for the side .
STEP 3
Identify the known elements of the triangle: - The angle . - The side adjacent to angle , which is m. - The side opposite angle is designated by the lowercase letter .
STEP 4
Use the tangent trigonometric ratio, which relates the opposite side to the adjacent side in a right triangle:
For this triangle:
STEP 5
Solve for the side :
STEP 6
Calculate the value of using a calculator:
1. Find using a calculator.
2. Multiply the result by .
The measure of the side is approximately meters.
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